VARIABLE RADIUS !

A circle of variable radius is given by x2+y2+2gx+2fy+c=0 cuts the rectangular hyperbola x2-y2 = 9a2 in points P, Q, R and S at (xiyi) (i = 1,2,3,4)

find centroid of triangle PQR !

2 Answers

11
Anirudh Narayanan ·

unique problem, unique [3]

3
msp ·

solve the curves and find x1+x2+x3+x4 and y1+y2+y3+y4

let x1+x2+x3=h; and y1+y2+y3=k; and (x4,y4) lies on the hyperbola

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